What is log_{10}(30)+log_{10}(6) ?

The solution to log_{10}(30)+log_{10}(6) is log_{10}(180)

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simplify log_{10}(30)+log_{10}(6)

simplify

lo g_{10} (30) + lo g_{10} (6)

lo g_{10} (180)

Decimal Notation

2.25527 \dots

Solution steps

lo g_{10} (30) + lo g_{10} (6)

Apply log rule:

lo g_{a} (x) + lo g_{a} (y) = lo g_{a} (x y)

lo g_{10} (30) + lo g_{10} (6) = lo g_{10} (30 \cdot 6)

= lo g_{10} (30 \cdot 6)

Multiply the numbers:

30 \cdot 6 = 180

= lo g_{10} (180)

lo g_{6} (x) - lo g_{6} (x^{6})

ln (x^{2} - 9) - ln (4 - x^{2})

ln ∣ x ∣ + ln ∣ y ∣

\frac{1}{2} lo g_{2} (x) + lo g_{2} (y)

What is log_{10}(30)+log_{10}(6) ?
The solution to log_{10}(30)+log_{10}(6) is log_{10}(180)